Bifurcation of frozen orbits in a gravity field with zonal harmonics

Celest Mech Dyn Astron 134, 49 (2022) We propose a methodology to study the bifurcation sequences of frozen orbits when the 2nd-order fundamental model of the satellite problem is augmented with the contribution of octupolar terms and relativistic corrections. The method is based on the analysis of...

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Bibliographic Details
Main Authors: Cavallari, Irene, Pucacco, Giuseppe
Format: Journal Article
Language:English
Published: 21-10-2022
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Summary:Celest Mech Dyn Astron 134, 49 (2022) We propose a methodology to study the bifurcation sequences of frozen orbits when the 2nd-order fundamental model of the satellite problem is augmented with the contribution of octupolar terms and relativistic corrections. The method is based on the analysis of twice-reduced closed normal forms expressed in terms of suitable combinations of the invariants of the Kepler problem, able to provide a clear geometric view of the problem.
DOI:10.48550/arxiv.2210.12182